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Finding the Fourth Proportional to 99,802.60, 137,729.18 and 54,480.97

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Solution

The fourth proportional to 99,802.60, 137,729.18 and 54,480.97 is: 75,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802.60 : 137,729.18 = 54,480.97 : x
  2. Step 2: Convert to fraction form
    99,802.60/137,729.18 = 54,480.97/x
  3. Step 3: Cross multiply
    99,802.60x = 137,729.18 × 54,480.97
  4. Step 4: Simplify right side
    99,802.60x = 7,503,619,323.70
  5. Step 5: Solve for x
    x = 7,503,619,323.70/99,802.60
  6. Step 6: Final answer
    x = 75,184.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.